(\frac{1.49\times14.9-0.51\times5.1}{14.9-5.1}) is simplified to

Decimals and Fractions Practice Test 4

Question : 27 of 40

Marks: +1, -0

({1.49×14.9-0.51×5.1}/{14.9-5.1})

is simplified to

Solution:

{1.49×14.9-0.51×5.1}/{14.9-5.1}

={1.49× 1.49× 10- 0.51× 0.51 ×10 }/{1.49 ×10- 0.51 ×10 }

={10[(1.49)^2-(0.51)^2]}/{10(1.49-0.51)}

={(1.49+0.51)(1.49-0.51)}/{(1.49-0.51)}

= 1.49 + 0.51 = 2

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